A restaurant has small tables (s) and large tables (L). Small tables seat four

A lawn sprinkler sprays water 25 feet and moves back and forth through an angle of 150°. Which of the following is the best esti

11Alexandr11 [23.1K]

$\pi25 ^{2} \times \frac{150}{360}$
Explanation:
Area is pi×r^2 and you times it by the fraction of the circle you have as its not a full circle.

5 0

3 years ago

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh

Elanso [62]

Answer:

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Step-by-step explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

so

$\frac{12}{10}\ \frac{in}{ft}$

simplify

$1.2\ \frac{in}{ft}$

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

so

$2\ ft=2(1.2)=2.4\ in$

$5\ ft=5(1.2)=6\ in$

therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

5 0

2 years ago

14a - (2a +9)=2/3 (12a-18)

Dmitrij [34]

Answer: a=-0.75

Step-by-step explanation:

14a - (2a +9)=2/3 (12a-18)

14a - 2a -9=2/3 * 6(2a-3)

12a-9=2*6/3 (2a-3)

12a-9=2*2(2a-3)

12a-9=4(2a-3)

12a-9=8a-12

4a-9=-12

4a=-3

a=-3/4

a=-0.75

3 0

1 year ago

Read 2 more answers

Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The order of performance is

kiruha [24]

Answer:

a) 1/6

b) 1/36

c) 1/720

d) 1/3

Step-by-step explanation:

a) Any of the six comics can perform in the fourth place, so there is one chance in six that Comic F is the one that performs fourth.

$P(F=4th)=1/6$

b) In this case, we have two conditions. Both are independent of each other, so the probability of both happening is the product of the probabilities of each happening individually:

$P(D=4th \&B=2nd)=P(D=4th)\cdot P(B=2nd)=(1/6)\cdot(1/6)=1/36$

c) This combination is one in all possible orders of perform. The amount of combinations of orders is n!=6!=720 possible combinations. So the probability of this specific order is:

$P(F, D, B, A, C, E)=1/720$

d) In this case, of the six possible comics performing in the last place, we calculate the probability of 2 of them being in that place. So the probability is:

$P(C=6th\,or\, E=6th)=2/6=1/3$

8 0

3 years ago

A group of 5 students took 15 days to finish a project. After 9 days, 3 students left the group. How many days did it take the s

sladkih [1.3K]

Using proportions, it is found that it took 15 days for the students to finish the project.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, we have that:

100% of the project is done by 5 students in 15 days.

After the 3 students left, 2 students will have a time of x days to do 100 - (9/15) = 40% of the project.

The compound <em>rule of three</em> is given as follows:

1 project - 5 students - 15 days

0.4 project - 2 students - x days

Increasing the number of students, the number of days is reduced, hence the measures are inverse proportional and the <em>rule of three</em> is given by:

$\frac{15}{x} = \frac{2}[5} \times \frac{1}{0.4}$

$\frac{15}{x} = \frac{2}{2}$

15/x = 1

x = 15 days.

It took 15 days for the students to finish the project.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0

1 year ago